Journal
MECHANICS RESEARCH COMMUNICATIONS
Volume 43, Issue -, Pages 34-40Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2012.02.001
Keywords
Nonlocal elastic rod model; Carbon nanotube; Axial vibration; Elastic medium
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The axial vibration of single walled carbon nanotube embedded in an elastic medium is studied using nonlocal elasticity theory. The nonlocal constitutive equations of Eringen are used in the formulations. The effect of various parameters like stiffness of elastic medium, boundary conditions and nonlocal parameters on the axial vibration of nanorods is discussed. It is obtained that, the axial vibration frequencies of the embedded nanorods are highly over estimated by the classical continuum rod model which ignores the effect of small length scale. (C) 2012 Elsevier Ltd. All rights reserved.
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